# As an alternative to the boundary conditions of Problem 4.5, consider the thin fin shown in Fig….

As an alternative to the boundary conditions of Problem 4.5,

consider the thin fin shown in Fig. P4.6. Derive the temperature distribution

for this fin as

Subsequently, derive the heat transfer rate expression at x

= 0 and . Also, locate the plane, a value of x, in terms of T1, T2,

T1, m and where the temperature gradient dT/dx = 0. Show that the

foregoing temperature distribution reduces to Eq. (4.92) when the value of T2

is such that dT/dx = 0 at x =t .

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As an alternative to the boundary conditions of Problem 4.5,

consider the thin fin shown in Fig. P4.6. Derive the temperature distribution

for this fin as

Subsequently, derive the heat transfer rate expression at x

= 0 and . Also, locate the plane, a value of x, in terms of T1, T2,

T1, m and where the temperature gradient dT/dx = 0. Show that the

foregoing temperature distribution reduces to Eq. (4.92) when the value of T2

is such that dT/dx = 0 at x =t .

In a cryogenics multifluid heat exchanger, offset strip fins

are generally used between plates, In neighboring channels, different fluids

with different heat transfer coefficients and temperature differences (Th

-Tc) flow. Consider a typical fin of length as shown in Fig. P4.5.

Derive the temperature distribution in this fin as follows.

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